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Unique Asymptotics of Steady Ricci Solitons with Symmetry

Zilu MaHamidreza MahmoudianNatasa Sesum
Nov 2023
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摘要原文
In this paper we study 4d gradient steady Ricci solitons, which are weak $\kappa$-solutions, and admit O(3)-symmetry. Under a weak curvature decay condition, we find precise geometric asymptotics of such solitons, which are similar to those for 3d compact $\kappa$-solutions found in [ABDS22]. This is the first step towards the classification of 4d gradient steady Ricci solitons and more general ancient Ricci flows.
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